Release a WPF app with local database

OK, so I am quite lost. This is my first real application written for windows with a local database.
I have written an WPF application in VS2012 with a local database, which has all CRUD written as stored procedures.
The app is working as I run it in VS. But as I build the app and install it (on any machine) the database is not accessible. I have a feeling the connection string is causing this issue.

First I used this connection string:

SqlConnection conn = new SqlConnection(@"Data Source=(LocalDB)\v11.0;AttachDbFilename='D:\LH\Personalitytest win\DB.mdf';Integrated Security=True;Database=DB")

But as I got "Error: 26 – Error Locating Server/Instance Specified" I guessed that the Data Source of the connection is not correct (although the AttachDbFilename is definitly incorrect). So, I changed the connection string to:

SqlConnection conn = new SqlConnection(@"Server=(localdb)\v11.0;AttachDbFilename=" + AppDomain.CurrentDomain.BaseDirectory + "DB.mdf;Database=DB;Trusted_Connection=Yes;");

And now I get an error which basically says that the file DB.mdf is not found.
My database file type is Microsoft SQL Server.

My question is basically, how should the database be implemented in the final release?